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Finding the Fourth Proportional to 6,598.86, 9,898.29 and 2,216.33

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Solution

The fourth proportional to 6,598.86, 9,898.29 and 2,216.33 is: 3,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.86 : 9,898.29 = 2,216.33 : x
  2. Step 2: Convert to fraction form
    6,598.86/9,898.29 = 2,216.33/x
  3. Step 3: Cross multiply
    6,598.86x = 9,898.29 × 2,216.33
  4. Step 4: Simplify right side
    6,598.86x = 21,937,827.58
  5. Step 5: Solve for x
    x = 21,937,827.58/6,598.86
  6. Step 6: Final answer
    x = 3,324.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.